Coughing and Breathlessness Can Begin to Ease
The CDC describes coughing and shortness of breath decreasing across the first one to twelve months.

What happens to your body 1 month after quitting smoking
The CDC places reductions in coughing and shortness of breath across a broad one-to-twelve-month window. At one month, some people are beginning to notice this change while others need longer. A temporary change in coughing can also occur as the airways adjust after smoke exposure stops.
Health timelines are population-level guides. Individual recovery varies with smoking history, health and treatment. Review the general guidance from the CDC and NHS.
Frequently asked questions
Why might I still be coughing?
Airway irritation does not resolve on one exact schedule. A persistent or worrying cough should be discussed with a health professional rather than assumed to be part of quitting.
Does every person improve within one month?
No. The official range extends across the first year, and smoking history and existing lung conditions affect timing.